Open Access
September 2008 SubRiemannian geometry, a variational approach
O. Calin, D.-C. Chang
J. Differential Geom. 80(1): 23-43 (September 2008). DOI: 10.4310/jdg/1217361065

Abstract

The paper deals with a variational approach of the subRiemannian geometry from the point of view of Hamilton-Jacobi and Hamiltonian formalism. We present a discussion of geodesics from the point of view of both formalisms, and prove that the normal geodesics are locally length-minimizing horizontal curves.

Citation

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O. Calin. D.-C. Chang. "SubRiemannian geometry, a variational approach." J. Differential Geom. 80 (1) 23 - 43, September 2008. https://doi.org/10.4310/jdg/1217361065

Information

Published: September 2008
First available in Project Euclid: 29 July 2008

zbMATH: 1165.53022
MathSciNet: MR2434258
Digital Object Identifier: 10.4310/jdg/1217361065

Rights: Copyright © 2008 Lehigh University

Vol.80 • No. 1 • September 2008
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